2016
DOI: 10.3390/en9090741
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Analytical Modeling of Wind Farms: A New Approach for Power Prediction

Abstract: Wind farm power production is known to be strongly affected by turbine wake effects. The purpose of this study is to develop and test a new analytical model for the prediction of wind turbine wakes and the associated power losses in wind farms. The new model is an extension of the one recently proposed by Bastankhah and Porté-Agel for the wake of stand-alone wind turbines. It satisfies the conservation of mass and momentum and assumes a self-similar Gaussian shape of the velocity deficit. The local wake growth… Show more

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Cited by 267 publications
(292 citation statements)
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“…The linear relationship of Equation (16) is similar to the one used in [38] by fitting a straight line to the data presented in [11], k * = 0.383 TI x + 0.0037 (presented as a dashed black line in Figure 10). When using these relationships, it is important to take into account the variability of the data, which indicates that it is not uncommon to find wake growths that differ by a factor of two or three for very similar conditions of longitudinal turbulence intensity.…”
Section: Resultsmentioning
confidence: 91%
See 1 more Smart Citation
“…The linear relationship of Equation (16) is similar to the one used in [38] by fitting a straight line to the data presented in [11], k * = 0.383 TI x + 0.0037 (presented as a dashed black line in Figure 10). When using these relationships, it is important to take into account the variability of the data, which indicates that it is not uncommon to find wake growths that differ by a factor of two or three for very similar conditions of longitudinal turbulence intensity.…”
Section: Resultsmentioning
confidence: 91%
“…In blue all the data collected during the experiment, in dashed red the linear fit to the full-scale field data presented in Equation (16). In black the data obtained from [11] and the linear fit used in [38]. Numbers 1 to 3 indicate the cases presented in Figure 9.…”
Section: Resultsmentioning
confidence: 99%
“…Atmospheric Conditions: This model also accounts for physical atmospheric quantities such as shear, veer, and changes in turbulence intensity (Abkar and Porté-Agel (2015); Niayifar and Porté-Agel (2016)). Shear, veer, and turbulence intensity measurements are typically available in field measurements and will be used to characterize atmospheric conditions in this particular model.…”
mentioning
confidence: 99%
“…The wake models available in FLORIS include the Jensen model (Jensen (1983)), the multizone wake model ), and the self-similar wake model with contributions from Porté-Agel (2014, 2016); Abkar and Porté- Agel (2015); Niayifar and Porté-Agel (2016); Dilip and Porté-Agel (2017)). Although only these three wake models are addressed and implemented in FLORIS, any wake model can be substituted into the FLORIS framework for real-time optimization of a wind farm.…”
mentioning
confidence: 99%
“…This view, however, has been challenged. References [21,27] criticize the top hat distribution of the velocity deficit implied by the Jensen model and replace it by a Gaussian distribution to attain a better fit of the experimental data. Reference [28] reports that for two off-shore wind farms, the Jensen model underestimates production in the first few turbine rows of the wind farms, yet it overestimates production in the last few turbine rows.…”
Section: Introductionmentioning
confidence: 99%